Zobrazeno 1 - 10
of 263
pro vyhledávání: '"Iohara, K."'
Autor:
Iohara, K., Saito, Y.
In this note, after recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.
Externí odkaz:
http://arxiv.org/abs/2409.07317
K. Saito (Publ. RIMS 21 (1), 1985, 75-179) has introduced a class of root systems called elliptic root systems which lies in the real vector space $F$ with a metric $I$ whose signature is of type $(l,2,0)$. He also classified the pair $(R,G)$ of an e
Externí odkaz:
http://arxiv.org/abs/2408.01358
The class of root systems, called elliptic root systems, were introduced in 1985 by K. Saito, for his studies on a normal surface singularity which contains a regular elliptic curve in its minimal resolution. He also classified such root systems when
Externí odkaz:
http://arxiv.org/abs/2304.03976
Autor:
Fialowski, A., Iohara, K.
In this note we compute the homology of the Lie algebra $\mathfrak{gl}(\infty,R)$ where $R$ is an associative unital $k$-algebra which is used in higher dimensional soliton theory. When $k$ is a field of characteristic $0$, our result justifies an ol
Externí odkaz:
http://arxiv.org/abs/1711.05080
When the parameter $q$ is a root of unity, the Temperley-Lieb algebra $TL_n(q)$ is non-semisimple for almost all $n$. In this work, using cellular methods, we give explicit generating functions for the dimensions of all the simple $TL_n(q)$-modules.
Externí odkaz:
http://arxiv.org/abs/1707.01196
When the parameter $q$ is a root of unity, the Temperley-Lieb algebra $TL_n(q)$ is non-semisimple for almost all $n$. Jones showed that there is a canonical symmetric bilinear form on $TL_n(q)$, whose radical $R_n(q)$ is generated by a certain idempo
Externí odkaz:
http://arxiv.org/abs/1702.08128
In this note, we compute Hirota bilinear forms arising from both homogeneous and principal realization of vertex representations of 2-toroidal Lie algebras of type $A_l, D_l, E_l$.
Comment: 11 pages, AMS-latex file
Comment: 11 pages, AMS-latex file
Externí odkaz:
http://arxiv.org/abs/solv-int/9811001
Publikováno v:
Prog.Theor.Phys.Suppl.118:1-34,1995
We discuss a construction of highest weight modules for the recently defined elliptic algebra ${\cal A}_{q,p}(\widehat{sl}_2)$, and make several conjectures concerning them. The modules are generated by the action of the components of the operator $L
Externí odkaz:
http://arxiv.org/abs/hep-th/9405058
Publikováno v:
Lett.Math.Phys. 32 (1994) 259-268
An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation of the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are eight-vertex $R$-matrices with the elliptic moduli chosen differently. In the trigonometric limit,
Externí odkaz:
http://arxiv.org/abs/hep-th/9403094
Publikováno v:
Representation Theory. 4/20/2021, Vol. 25, p265-299. 35p.
